Home
Class 12
MATHS
if x=a(costheta+thetasintheta) , y=a(si...

if `x=a(costheta+thetasintheta) , y=a(sintheta-thetacostheta)` then `(d^2y)/(dx^2)`

A

` (sqrt(2))/( api) `

B

` (2sqrt(2))/( api) `

C

` (4sqrt(2))/( api) `

D

` (8sqrt(2))/( api) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

If x=a(costheta+thetasintheta),y=a(sintheta-thetacostheta)," then "(dy)/(dx)=

Consider the curve x=a(cos theta+thetasintheta) and y=a(sin theta-thetacostheta) . what is (d^(2)y)/(dx^(2)) equal to ?

Consider the curve x=a(cos theta+thetasintheta) and y=a(sin theta-thetacostheta) . What is (dy)/(dx) equal to ?

Find (dy)/(dx) , if x=a(costheta+thetasintheta) , y=a(sintheta-thetacostheta)

If x=ae^(theta)(sintheta-costheta),y=ae^(theta)(sintheta+costheta)," then "((dy)/(dx))" at "theta=(pi)/(2) is

If x=sintheta+thetacostheta,y=costheta-thetasintheta," then "((dy)/(dx))" at "theta=(pi)/(2) is

If x=theta-sintheta" and "y=1-costheta," then "(d^(2)y)/(dx^(2))=

If x= 2 sintheta - sin2theta and y= 2 costheta - cos 2theta then (d^2y)/(dx^2) " at " theta =pi is :

If y=a(theta+sintheta),x=a(1-costheta)," then "(dy)/(dx)=

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If x = sin theta, y = sin^(3) theta then (d^(2)y)/(dx^(2)) at theta = ...

    Text Solution

    |

  2. If x=costheta,ysin^3theta,"p r o v et h a t" y(d^2y)/(dx^2)+((dy)/(...

    Text Solution

    |

  3. If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...

    Text Solution

    |

  4. If x=a sin theta ,y =bcos theta,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  5. If x = 2 cos t - cos 2t , y = 2 sin t - sin 2t, then the value of ...

    Text Solution

    |

  6. If x= asin t- b cos t ,y=a cost +bsin t,then y^(3) (d^(2) y)/(dx^(2) ...

    Text Solution

    |

  7. If x =theta -sin theta ,y=1-cos theta,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  8. if x=a(costheta+thetasintheta) , y=a(sintheta-thetacostheta) then (d^...

    Text Solution

    |

  9. If x= sin sqrtt,y =e^(sqrt( t) ),then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  10. If x=sqrt(a^sin^((-1)t)), y=sqrt(a^cos^((-1)t)), show that (dy)/(dx)=-...

    Text Solution

    |

  11. The second order derivative of a sin^3 t w.r.t, a cos^3 t at t = pi/4...

    Text Solution

    |

  12. If x=log theta ,theta gt 0and y= (1)/( theta ),then (d^(2) y)/(dx^(2)...

    Text Solution

    |

  13. Let f(x) be a polynomial.Then, the second order derivative of f(e^x) i...

    Text Solution

    |

  14. If x=f(t) and yy=g(t) are differentiable functions of t then (d^...

    Text Solution

    |

  15. (d^2x)/(d y^2) equals

    Text Solution

    |

  16. (d^2x)/(d y^2) equals

    Text Solution

    |

  17. Given f(x)=2x,xlt0=0,xge0,"then "f(x) is

    Text Solution

    |

  18. If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)), then ...

    Text Solution

    |

  19. If for x (0,1/4), the derivative of tan^(-1)((6xsqrt(x))/(1-9x^3)) is ...

    Text Solution

    |

  20. Derivative of tan^(3)theta with respect to sec^(3)theta at theta=(pi)/...

    Text Solution

    |